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Strategy-proof Rules on Partially Single-peaked Domains

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  • Achuthankutty, Gopakumar
  • Roy, Souvik

Abstract

We consider domains that exhibit single-peakedness only over a subset of alternatives. We call such domains partially single-peaked and provide a characterization of the unanimous and strategy-proof social choice functions on these domains. As an application of this result, we obtain a characterization of the unanimous and strategy-proof social choice functions on multi-peaked domains (Stiglitz (1974), Shepsle (1979), Epple and Romano (1996a)), single-peaked domains with respect to a partial order (Chatterji and Massó (2015)), multiple single-peaked domains (Reffgen (2015)) and single-peaked domains on graphs (Schummer and Vohra (2002)). As a by-product of our results, it follows that strategy-proofness implies tops-onlyness on these domains. Further, we show that strategy-proofness and group strategy-proofness are equivalent on these domains.

Suggested Citation

  • Achuthankutty, Gopakumar & Roy, Souvik, 2017. "Strategy-proof Rules on Partially Single-peaked Domains," MPRA Paper 82267, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:82267
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    Cited by:

    1. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    2. Shurojit Chatterji & Souvik Roy & Soumyarup Sadhukhan & Arunava Sen & Huaxia Zeng, 2021. "Probabilistic Fixed Ballot Rules and Hybrid Domains," Papers 2105.10677, arXiv.org, revised Jan 2022.
    3. Chatterji, Shurojit & Roy, Souvik & Sadhukhan, Soumyarup & Sen, Arunava & Zeng, Huaxia, 2022. "Probabilistic fixed ballot rules and hybrid domains," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    4. Shurojit Chatterji & Huaxia Zeng, 2022. "A Taxonomy of Non-dictatorial Unidimensional Domains," Papers 2201.00496, arXiv.org, revised Oct 2022.
    5. Karmokar, Madhuparna & Roy, Souvik & Storcken, Ton, 2019. "A characterization of possibility domains under Pareto optimality and group strategy-proofness," Economics Letters, Elsevier, vol. 183(C), pages 1-1.

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    More about this item

    Keywords

    Partially single-peaked domain; strategy-proofness; group strategy-proofness; partly dictatorial min-max rules.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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